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    Aug 19, 2022  
2022-2023 Graduate Catalog 
    
2022-2023 Graduate Catalog
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AE 537 - Computer Methods in Dynamics of Continua

3 Credit Hours
Classification of hyperbolic, parabolic, and elliptic partial differential equations (PDEs), types of PDE nonlinearity, method of characteristics, systems of conservation laws, shocks and rarefaction waves; Riemann solutions for linear hyperbolic PDEs; Dynamic solutions for Finite Difference (FD), Finite Volume (FV), and Finite Element Method (FEM); Modal analysis; Time marching schemes: explicit vs. implicit, single- vs. multi-stage, multi-step and sub-cycling, high order schemes; Stability, convergence, and consistency; Physical and numerical dispersion; von Neumann dispersion and dissipation analysis; Adaptivity in space (and time).
Cross-listed: (Same as: Mechanical Engineering 537.)

(DE) Prerequisite(s): Undergraduate level numerical methods and differential equations, or consent of instructor.
Recommended Background: Numerical analysis and differential equations.



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